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no triples of primes p, q, r satisfy p > r, q > r, and pq | r^p + r^q

Source: Thailand Mathematical Olympiad 2010 day 2 p6

August 17, 2020
primesnumber theoryDivide

Problem Statement

Show that no triples of primes p,q,rp, q, r satisfy p>r,q>rp > r, q > r, and pq∣rp+rqpq | r^p + r^q
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